Electric Field Line Diagrams Don't Work

Below, an example from the paper: 3 point charges of magnitude +1, +3,and -4. Notice the bizarre clumping of electric field lines arriving at the negative charge. The field lines are computed correctly, but this can't bea proper representation of the electric field, because the field very closeto the -4 charge is nearly infinite, and therefore mostly due to that charge,hence the electric field must be uniform. The conclusion is that 2-D field lines patterns fail to correctly represent inherently 3-D electric fields.